Q: How is the number 674,475,748 written in Scientific Notation?

 A: 6.74475748 x 108

Why is 674,475,748 written as 6.74475748 x 108 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 674,475,748 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

  • Original Number: 674,475,748
  • New Number: 6.74475748

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 6.74475748
Decimal Count: 12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.74475748

b = 8

Now the whole thing:

6.74475748 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.74475748 = 674,475,748


More Scientific Notation Examples

674,475,746674,475,747674,475,749674,475,750
6.74475746 x 1086.74475747 x 1086.74475749 x 1086.7447575 x 108

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